Question

What is the area of the trapezoid? Enter your answer in the box. in2 The figure shows a trapezoid. The parallel bases of the trapezoid are horizontal, and top base is shorter than the bottom base. Vertical line segments are drawn inside the trapezoid from the upper vertices perpendicular to the bottom base. These segments are each 6 inches and divide the trapezoid into two right triangles and a rectangle. The rectangle lies between the two triangles. The bases of the triangles and rectangle make up the bottom base of the trapezoid. The base of each triangle is 4 inches, and the base of the rectangle is 8 inches.

Answer 1

72

Explanation:

Answer 2

Answer:
`\text{Area}=72\ inches^2`

Explanation:

By the given description of trapezoid we get,

The height of the trapezoid h= 6 inches

The base of triangle = 4 inches

The base of rectangle (a)= 8 inches

The bottom base of the trapezoid (b)= 2×base of triangle +base of rectangle

The bottom base of the trapezoid (b)=
`2(4)+8=8+8=16\ inches`

The area of trapezoid is given by :-

`\text{Area}=(1)/(2)(a+b)h\\\\\Rightarrow\text{Area}=(1)/(2)(8+16)(6)\\\\\Rightarrow\text{Area}=72\ inches^2`